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Finding the Fourth Proportional to 133,874.16, 201,008.06 and 55,142.16

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Solution

The fourth proportional to 133,874.16, 201,008.06 and 55,142.16 is: 82,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,874.16 : 201,008.06 = 55,142.16 : x
  2. Step 2: Convert to fraction form
    133,874.16/201,008.06 = 55,142.16/x
  3. Step 3: Cross multiply
    133,874.16x = 201,008.06 × 55,142.16
  4. Step 4: Simplify right side
    133,874.16x = 11,084,018,605.81
  5. Step 5: Solve for x
    x = 11,084,018,605.81/133,874.16
  6. Step 6: Final answer
    x = 82,794.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.